As long as your Oyster card is ‘tapped in’ when you’re inspected, you’re free travel by whatever route you choose.
There’s a common mis-conception around the fare finder information in that people assume the system always charges based on the route taken and try to use the fare finder information with that belief. While that’s true in cases where a specific route/fare combination is specified, it doesn’t apply to the ‘default fare’. In this case, it’s simply telling you what you’ll pay if you take any route that doesn’t meet the criteria for one of the specific route fares quoted.
The listing of specific fare zones accompanying the default is there to illustrate what is seen as the most likely route and thus justify the fare charged. it isn’t a requirement to actually take that route, however, or even to travel only within the zones listed.
Short answer…you’re fine as you are.